Abstract
An embedded cell model is presented to obtain the effective elastic moduli for three-dimensional two-phase composites which is an exact analytic formula without any simplified approximation and can be expressed in an explicit form. For the different cells such as spherical inclusions and cracks surrounded by sphere and oblate ellipsoidal matrix, the effective elastic moduli are evaluated and the results are compared with those from various micromechanics models. These results show that the present model is direct, simple and efficient to deal with three-dimensional two-phase composites.
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The project supported by the National Natural Science Foundation of China (No. 19704100) and the National Natural Science Foundation of Chinese Academy of Sciences (No. KJ951-1-201)
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Shige, Z., Tzuchiang, W. Effective elastic moduli of inhomogeneous solids by embedded cell model. Acta Mech Sinica 15, 334–343 (1999). https://doi.org/10.1007/BF02487931
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DOI: https://doi.org/10.1007/BF02487931